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Finding the Fourth Proportional to 464,996, 697,500.48 and 132,572

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Solution

The fourth proportional to 464,996, 697,500.48 and 132,572 is: 198,859.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,996 : 697,500.48 = 132,572 : x
  2. Step 2: Convert to fraction form
    464,996/697,500.48 = 132,572/x
  3. Step 3: Cross multiply
    464,996x = 697,500.48 × 132,572
  4. Step 4: Simplify right side
    464,996x = 92,469,033,634.56
  5. Step 5: Solve for x
    x = 92,469,033,634.56/464,996
  6. Step 6: Final answer
    x = 198,859.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.